Finding the Third Proportional to 17,768 and 27,510

Step by Step Solution

1. Step 1: Write the proportion equation
   17,768 : 27,510 = 27,510 : x
2. Step 2: Convert to fraction form
   17,768/27,510 = 27,510/x
3. Step 3: Cross multiply
   17,768x = 27,510 × 27,510
4. Step 4: Simplify right side
   17,768x = 756,800,100
5. Step 5: Solve for x
   x = 756,800,100/17,768
6. Step 6: Final answer
   x = 42,593.43